Biodegradable, bioabsorbable cross-linked polymer tissue scaffolds for filling a void in human or animal soft tissue, such as a surgical or other wound, are disclosed. Drugs incorporated into the polymer backbone and/or loaded into the matrix are released directly to the target site. Additional non-toxic chemical constituents can be used to tune the hydrophilio hydrophobic and other physical properties of the cross-linked polymer tissue scaffolds, and incorporating brominated or iodinated constituents provides radio-opacity. The radio-opaque cross-linked polymer tissue scaffolds can assist in the targeting of radiation therapy.